Home
Class 12
PHYSICS
A structural steel rod has a radius r(=1...

A structural steel rod has a radius r(=10 mm) and a length l(=1 m). When a force F(= 100 kN) is applied, it stretches it along its length. Young's modulus of elasticity of the structural steel is `2.0xx10^(11) Nm^(-2)`. What is the elastic energy density of the steel rod ?

A

1.59 mm

B

2.32 mm

C

0.159 mm

D

3.18 mm

Text Solution

Verified by Experts

The correct Answer is:
A

Hint : `"Strain"=("Stress")/("Young's modulus")`
Promotional Banner

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF SOLIDS

    AAKASH INSTITUTE|Exercise Assignment (SECTION - A)|31 Videos
  • MECHANICAL PROPERTIES OF SOLIDS

    AAKASH INSTITUTE|Exercise Assignment (SECTION - B)|15 Videos
  • MECHANICAL PROPERTIES OF SOLIDS

    AAKASH INSTITUTE|Exercise Assignment(Section-D)|12 Videos
  • MECHANICAL PROPERTIES OF FLUIDS

    AAKASH INSTITUTE|Exercise SECTION - J|9 Videos
  • Mock test 03

    AAKASH INSTITUTE|Exercise EXAMPLE|37 Videos

Similar Questions

Explore conceptually related problems

A structural steel rod has a radius r(=10 mm) and a length l(=1 m). When a force F(= 100 kN) is applied, it stretches it along its length. Young's modulus of elasticity of the structural steel is 2.0xx10^(11) Nm^(-2) . What is the stress produced ?

A structural steel rod has a radius r(=10 mm) and a length l(=1 m). When a force F(= 100 kN) is applied, it stretches it along its length. Young's modulus of elasticity of the structural steel is 2.0xx10^(11) Nm^(-2) . What is the elongation produced ?

A structural steel rod has a radius of 10 mm and length of 1.0 m. A 100 kN force stretches it along its length. Young’s modulus of structural steel is 2xx10^11Nm^(_2) . The percentage strain is about

A steel rod has a radius 10 mm and a length of 1.0 m. A force stretches it along its length and produces a strain of 0.32% . Young's modulus of the steel is 2.0xx10^(11Nm^(-2) . What is the magnitude of the force stretching the rod?

A structural steel rod has a radius of 10 mm and a length of 1.0 m. A 100 kN force stretches it along its length. Calculate (a) stress, (b) elongation, and ( c ) strain on the rod. Young's modulus, of structural steel is 2.0 xx 10^(11) N "m"^(-2) .

A steel rod has a radius 10mm and a length of 1m . A force stretches it along its length and produces a strain of 0.32% . Younng's modulus of steel is 2xx10^(11)Nm^(-2) , the magnitude of force stretching the rod is

A suructural steel rod has a radius of 10mm and a length of 1m. A 100 kN force stretches it along its length. Calculate (a) the stress (b) elongation, and (c ) percentage strain on the rod. Given that the Young's modulus of elasticity of structural steel is 2.0 xx 10^(11) Nm^(-2) .

The Young's modulus of steel is 1.9 xx 10^(11) Nm^(-2) . Calculate its value in dyne cm^(-2) .

Young modulus of elasticity of steel is 2xx10^(11)N//m^(2) . If interatomic distance for steel is 3.2Å , then, find the interatomic force constant.

For a steel rod, the Young's modulus of elasticity is 2.9xx10^(11)N//m^(2) , and the density of steel is 8xx10^(3)kg//m^(3) .What is the velocity of longitudinal waves in steel?

AAKASH INSTITUTE-MECHANICAL PROPERTIES OF SOLIDS-Try Yourself
  1. Compute the fractional change in volume of a glass slab, when subjecte...

    Text Solution

    |

  2. A structural steel rod has a radius r(=10 mm) and a length l(=1 m). Wh...

    Text Solution

    |

  3. A structural steel rod has a radius r(=10 mm) and a length l(=1 m). Wh...

    Text Solution

    |

  4. A structural steel rod has a radius r(=10 mm) and a length l(=1 m). Wh...

    Text Solution

    |

  5. A structural steel rod has a radius r(=10 mm) and a length l(=1 m). Wh...

    Text Solution

    |

  6. When a body is under certain stress, is it equilibrium ?

    Text Solution

    |

  7. What is the dimensional formula of tensile stress?

    Text Solution

    |

  8. Within the elastic limit, stress is directly proportional to strain p...

    Text Solution

    |

  9. The resultant of two forces has magnitude 20N. One of the forces is of...

    Text Solution

    |

  10. Write the SI unit of volumetric strain.

    Text Solution

    |

  11. Find the dimensional formula of volumetric stress.

    Text Solution

    |

  12. A load of 4.0 kg is suspended from a ceiling through a steel wire of l...

    Text Solution

    |

  13. One end of a wire 2m long and 0.2 cm^2 in cross section is fixed in a ...

    Text Solution

    |

  14. Modulus of rigidity of a liquid

    Text Solution

    |

  15. Defind Poisson ration.

    Text Solution

    |

  16. The length of a metal wire is l1 when the tensionin it is T1 and is l2...

    Text Solution

    |

  17. Compute the fractional change in volume of a glass slab, when subjecte...

    Text Solution

    |

  18. A structural steel rod has a radius r(=10 mm) and a length l(=1 m). Wh...

    Text Solution

    |

  19. A structural steel rod has a radius r(=10 mm) and a length l(=1 m). Wh...

    Text Solution

    |

  20. A structural steel rod has a radius r(=10 mm) and a length l(=1 m). Wh...

    Text Solution

    |